Geometrically Exact Beam Theory

By Wenbin Yu1, Qi Wang2, Su Tian1

1. Purdue University 2. National Renewable Energy Laboratory

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Abstract

Geometrically Exact Beam Theory (GEBT), is a general-purpose tool for nonlinear analysis of composite slender structures, meeting the design challenges associated with future engineering systems featuring highly-flexible slender structures made of composites. GEBT is based on the mixed formulation of the geometric exact beam theory which can capture all geometric nonlinearities due to large deflections and rotations, subject to the strains being small. Coupled with Variational Beam Sectional Analysis (VABS), a general-purpose cross-sectional analysis, GEBT can effectively analyze geometric nonlinear behavior of slender structures having arbitrary cross-sections made of arbitrary materials. The zip file contains the source codes and supporting documents. A compiled version will be executable through the HUB soon.

References

Yu, W. and Blair, M.: "GEBT: A General-Purpose Nonlinear Analysis Tool for Composite Beams," Composite Structures, vol. 94, 2012, pp. 2677-2689.

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Researchers should cite this work as follows:

  • Wenbin Yu; Qi Wang; Su Tian (2014), "Geometrically Exact Beam Theory," https://cdmhub.org/resources/417.

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